Utilization of Cattaneo–Christov theory to study heat transfer in Powell–Eyring fluid of hyperbolic heat equation

Abstract

In this article, the two-dimensional, steady flow, and incompressible flow of Powell–Eyring fluid (non-Newtonian fluid) is considered toward a stretching surface. Applications of this emerging challenge include heating meals, grilling, baking, roasting, treating wounds, inflammation, and injuries with thermotherapy and cryotherapy, as well as steam turbines, industrial operations, casting, smelting, cooling aviation engines, and other things. Motion of particles is induced using variable wall velocity involving constant magnetic field. The characteristics of Lorentz force (magnetic field) and stagnation point flow are analyzed while direction of Lorentz is implemented toward y-direction of a bidirectional stretching surface under consideration of low magnetic Reynolds parameter. The phenomena regarding transfer of thermal energy have been addressed subject to thermal radiation, non-Fourier’s law and Joule heating. The PD-equations (partial differential equations) associated with heat transfer and flow are re-framed in forms of OD-equations (ordinary differential equations) using similarity variables. The influences based on various parameters against variation of motion and temperature field are analyzed in tables and graphical forms. The features of divergent velocity and temperature gradient are tabulated in Table 1. It is noted that temperature field is decreased against argument values of the Prandtl number whereas the same impact is noticed in thickness regarding thermal layers. The fluid parameter brings maximum acceleration into motion of fluid particles but the opposite trend is noticed in motion of fluid particles versus enhancement of Ratio of expansion rates number and Powell–Eyring fluid parameter.

Keywords:

• Heat transfer rate
• Lorentz force
• numerical study shear stresses
• stretching flow
• thermal radiation

Disclosure statement

The authors declare that they have no conflicts of interest.

Availability of data and material

The datasets used and/or analyzed during the current study available from the corresponding author on reasonable request.